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Simplifying 5.8(2.8n + -5.4) + 5.424 = -6.2n + -34.872 Reorder the terms: 5.8(-5.4 + 2.8n) + 5.424 = -6.2n + -34.872 (-5.4 * 5.8 + 2.8n * 5.8) + 5.424 = -6.2n + -34.872 (-31.32 + 16.24n) + 5.424 = -6.2n + -34.872 Reorder the terms: -31.32 + 5.424 + 16.24n = -6.2n + -34.872 Combine like terms: -31.32 + 5.424 = -25.896 -25.896 + 16.24n = -6.2n + -34.872 Reorder the terms: -25.896 + 16.24n = -34.872 + -6.2n Solving -25.896 + 16.24n = -34.872 + -6.2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6.2n' to each side of the equation. -25.896 + 16.24n + 6.2n = -34.872 + -6.2n + 6.2n Combine like terms: 16.24n + 6.2n = 22.44n -25.896 + 22.44n = -34.872 + -6.2n + 6.2n Combine like terms: -6.2n + 6.2n = 0.0 -25.896 + 22.44n = -34.872 + 0.0 -25.896 + 22.44n = -34.872 Add '25.896' to each side of the equation. -25.896 + 25.896 + 22.44n = -34.872 + 25.896 Combine like terms: -25.896 + 25.896 = 0.000 0.000 + 22.44n = -34.872 + 25.896 22.44n = -34.872 + 25.896 Combine like terms: -34.872 + 25.896 = -8.976 22.44n = -8.976 Divide each side by '22.44'. n = -0.4 Simplifying n = -0.4
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